Chapter 7 Steady state error analysis Test waveforms









- Slides: 9

Chapter 7: Steady state error analysis Test waveforms for evaluating steady-state errors of position control systems Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.

System response to different inputs Steady-state error: a. step input; b. ramp input Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.

System with: a. finite steady-state error for a step input; b. zero steady-state error for step input Esteady state=(1/K)Csteady state Intuition/motivation for steady state error analysis Esteady state=0 for Csteady state 0 Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.

Figure 7. 8 Feedback control system for defining system type Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.

Table 7. 2 Relationships between input, system type, static error constants, and steady-state errors Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.

Figure 7. 10 Feedback control system for Example 7. 6 Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.

Figure 7. 11 Feedback control system showing disturbance Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.

Figure 7. 12 Figure 7. 11 system rearranged to show disturbance as input and error as output, with R(s) = 0 Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.

Figure 7. 19 Feedback control system for Examples 7. 10 and 7. 11 Control Systems Engineering, Fourth Edition by Norman S. Nise Copyright © 2004 by John Wiley & Sons. All rights reserved.